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frozen [14]
3 years ago
15

Solve for x. 2x−45=x+4 Enter your answer in the box. x =

Mathematics
1 answer:
nata0808 [166]3 years ago
7 0

2x - 45 = x +4

Add 45 to each side:

2x = x + 49

Subtract 1x from each side:

x = 49

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1. Is the following pair of linear equations consistent? Justify your answer.
atroni [7]

Yes.

<h3>Justification:</h3>

Here,

  • a1/a2 = 2a/4a = 1/2,
  • b1/b2 = b/2b = 1/2,
  • c1/c2 = - a/- 2a = 1/2.

∵ a1/a2 = b1/b2 = c1/c2

∴ <u>The given system of equations is consistent</u>.

3 0
3 years ago
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Please help, explain in words the steps needed to solve this problem
melomori [17]

Answer:

x=6

Step-by-step explanation:

By the Product Rule of Logarithms, the logarithm of the product of numbers is the sum of the logarithms of the numbers.

log(x)  +  log(x  - 1)  =  log(x(x  - 1))  =  log( {x}^{2}  -  x )  =  log(3x + 12)

Raise both sides to the power of 10 to eliminate the logs, obtaining:

{x}^{2}  - x = 3x + 12

{x}^{2}  - 4x - 12 = 0

(x - 6)(x  + 2) = 0

x = -2 or x = 6. Since x = -2 is extraneous, it follows that x = 6.

4 0
2 years ago
What is the equation of the line that has a slope of -3 and a y-intercept of -1
Nat2105 [25]

Answer:

y=4x+2

Step-by-step explanation:

4 0
3 years ago
As a farmer, Felipe keeps a close eye on the weather. After a few stressful weeks with no rain, Felipe was relieved when it star
Sladkaya [172]

Answer:

The time it took until 2 inches of rain fell is 8 hours

Step-by-step explanation:

You know that the proportional relationship between the amount of time (in hours) it had been raining, x, and the amount of rain (in inches) it had fallen, y, is y = 0.25*x

To find the time that passed until 2 inches of rain fell, you must replace the amount of rain (in inches) that had fallen "and" by that value. In this way the following expression is obtained:

2= 0.25*x

Solving:

\frac{2}{0.25}=x

8 = x

So, remembering that the amount of time it had been raining, x, is expressed in hours, <u><em>the time it took until 2 inches of rain fell is 8 hours</em></u>.

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3 years ago
Match The Term
GalinKa [24]

Answer:

jyyj    

Step-by-step explanation:

From the figure,

Radius matches with (F) that is a segment between the centre of a circle and a point on the circle.

Arc matches with (D) that is Circle A and the portion of the circle between points B and C is darkened.

Chord matches with (C) Circle A and a line segment connecting points B and C which are on the circle.

Secant matches with (E) that is Circle A and a line segment connecting points B and C which are on the circle.

Tangent matches with (A) that is a line intersects a circle in exactly one point.

Circumference matches (B) that is the distance around a circle.


4 0
3 years ago
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